Linear congruence example 2 | Number theory | Finding solution of x | Fully Solved Example Solution

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  • Опубликовано: 13 дек 2024

Комментарии • 351

  • @jermanerobinson4576
    @jermanerobinson4576 4 года назад +177

    Why is it that I spend 65 minutes in a lecture confused, but spend 15 minutes on youtube and learn it. Please come teach at my university!!! Thanks for the explanation, this was awesome, thanks!!

  • @crossugo5738
    @crossugo5738 2 года назад +16

    I really like how you explained 5th step, which is by far the most difficult part of this problem. Thank you! To find the other solutions, dividing the gcd of a and n by n will give the distances apart i.e n/gcd(a, n). Eventually, you can just directly add it to the first solution of x to get the second solution. In cases where there are more than 2 solutions, just keep performing an additive increment.

  • @parthasarathirout6286
    @parthasarathirout6286 4 года назад +12

    finally I got the best vdo on this topic.thank you ...God bless you

  • @danielmoss7133
    @danielmoss7133 2 года назад +15

    Thank you so much, this was far more helpful than what they teach at university! :)

  • @mjskitchen1134
    @mjskitchen1134 3 года назад +17

    Thank you so much mam! I learnt this in only 15 minutes. Such an easy way to solve, universities make it complicated for no reason

  • @sanika6916
    @sanika6916 Год назад +7

    thankyou ma'am. I literally was so confused in this topic! You made it crystal clear for me. Much oblliged. thanks a tonne.

  • @ranifatma5651
    @ranifatma5651 3 года назад +3

    I just saw this rn, and wow I can understand this problem in several minute only. amazing! thank u

  • @pariminagalakshmi5517
    @pariminagalakshmi5517 3 года назад +7

    Sis, u have done wonderful job, I m studying 1st sem in cse , o didn't get this topic , but after seeing your videos , I got more knowledge.. thankyou so much Sis...

    • @CSEconceptswithParinita
      @CSEconceptswithParinita  3 года назад +1

      I'm glad to hear this 😊
      If you really liked it, please share it with all your classmates too :)

  • @varshapremanandan9201
    @varshapremanandan9201 4 года назад +6

    The whole day i was for a video of linear congruence ....bt this was the right one... Tysm😍

  • @nuellamaeariola4421
    @nuellamaeariola4421 2 года назад +4

    thank you so much! i find modulo to be hard but it becomes easy because of this explanation

  • @yaminisharma7676
    @yaminisharma7676 Год назад +2

    Mam it is very useful please continue, l couldn't understand it since long. So l was tensed

  • @ferozasifkhan9607
    @ferozasifkhan9607 3 года назад +5

    Today I have my exam.Yesterday I searched many videos for this topic but was not satisfied.My friend sent this link and now I understood well. I will never forget bcoz its easy step by step process.Hope I get this in exam today🙂.Thankyou so much. God bless you.

  • @bhaweshshaw6
    @bhaweshshaw6 Год назад +1

    After watching several videos on you tube my frequency is matched..thank you so much mam

  • @LaibaMaheen-es5zw
    @LaibaMaheen-es5zw 11 месяцев назад +2

    Excellent explination 👍

  • @sanskruti58
    @sanskruti58 28 дней назад +1

    Best lecture I found on this topic✨

  • @suryashekar399
    @suryashekar399 2 года назад +1

    Way of explanation is too good

  • @layabandila7898
    @layabandila7898 Год назад +1

    After watching your video my fear gone from me for finding the solutions of these questions, THANK YOU loved your tutorial

  • @soumyadipmajumder3450
    @soumyadipmajumder3450 2 года назад +1

    You taught us in very easy way. Thank you mam.

  • @ritusaha854
    @ritusaha854 5 лет назад +7

    Thank you didi just awesome explanation and so clear to understand 😊!!! Once again life saviour before exam..

    • @CSEconceptswithParinita
      @CSEconceptswithParinita  4 года назад +2

      Thank you so much dear, I hope your exam went well😊 Keep learning, keep sharing ✨✌

    • @ritusaha854
      @ritusaha854 4 года назад +2

      @@CSEconceptswithParinita welcome ❤ dii

    • @mr.masadi1993
      @mr.masadi1993 4 года назад

      Ma'am for finding the inverse which method u would suggest as the best..Bcoz in trial nd error if we were not encountered with the near approaching value it would take huge amount of time. So what would u suggest??

    • @CSEconceptswithParinita
      @CSEconceptswithParinita  4 года назад +1

      @@mr.masadi1993 I normally suggest to go for couple of small values as try and error method (Because in most of the cases, we get answer from them). If they don't work out, then go with the long method! After all, it mainly depends on your speed and convenience :)

  • @ketso-l7b
    @ketso-l7b Год назад +1

    this is the first time i actual understood this thing after going through youtube for 4 days

  • @drmaxgaming2841
    @drmaxgaming2841 4 месяца назад +1

    Thank you maam, i finally understand this type of probelm. thank you so much

  • @SONY13777
    @SONY13777 3 года назад +2

    I'm happy to see your video
    Thank u soo much mam

  • @JakyAhmedChowdhury
    @JakyAhmedChowdhury Год назад +1

    Thank you, ma'am. You just earned another subscriber

  • @suryashekar399
    @suryashekar399 2 года назад +1

    thanku
    Amazing explaination

  • @nvdeep07
    @nvdeep07 2 года назад +2

    Thank u so much mam for explaining in such a simple way ☺️☺️

  • @rrahulrroyr
    @rrahulrroyr 5 лет назад +7

    Thank you for this discussion ...

  • @SanjaySingh-ud5ju
    @SanjaySingh-ud5ju 5 лет назад +15

    One of the best explanations that I came across 💥💥💥

  • @rodilrun9195
    @rodilrun9195 4 года назад +1

    Explained very easy way mam thank you so much

  • @unique_bhanu
    @unique_bhanu Год назад +2

    Thank you so much🙏

  • @LaibaMaheen-es5zw
    @LaibaMaheen-es5zw 11 месяцев назад +2

    Mam do video on fermat's litte theorem

  • @chokli2748
    @chokli2748 4 года назад +4

    Thanks a lot maam, really helped me during exams.♥️👍

    • @CSEconceptswithParinita
      @CSEconceptswithParinita  4 года назад +1

      Thanks for acknowledging. Please share it with your other friends..... It may help them too😊

  • @knowledgenucleus9745
    @knowledgenucleus9745 4 года назад +2

    Finally I have got it , thanks mam

  • @SendiSiradj
    @SendiSiradj 3 года назад +1

    Finally got the best video

  • @sureshkumar.t2515
    @sureshkumar.t2515 4 года назад +4

    Thank you so much... 👍👍👍👍👍👍🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @MyMissi143
    @MyMissi143 4 года назад +2

    Thank you maam ..your video helped me during this lockdown

    • @CSEconceptswithParinita
      @CSEconceptswithParinita  4 года назад +2

      That's great. Keep learning, keep sharing ✌😊

    • @MyMissi143
      @MyMissi143 4 года назад

      @@CSEconceptswithParinita maam can you make one video on this theorem {{the linear congruence ax=b(modn) has a solution if and only if d|b,where d=gcd(a,n).If d|b then it has d mutually incongruent solutions modulo n}}

  • @kumaraswamy6222
    @kumaraswamy6222 2 года назад +1

    Super madam very nice explanation
    Thank you very much

  • @38soniasanga83
    @38soniasanga83 Год назад +3

    Amazing 😍 thank you🙏🏽

  • @goat5371
    @goat5371 4 года назад +1

    U r great educator

  • @saimanaz24
    @saimanaz24 4 года назад +1

    thanks to you you solved my problem on time

  • @samhita2917
    @samhita2917 3 года назад +3

    Well presented! Thanks👍🥳🙏

    • @CSEconceptswithParinita
      @CSEconceptswithParinita  3 года назад +1

      My pleasure 😊
      Keep learning, keep supporting ✌

    • @samhita2917
      @samhita2917 3 года назад +1

      @@CSEconceptswithParinita Do you have induction videos? Hard for me to understand my online class. I haven't checked your list yet..

    • @samhita2917
      @samhita2917 3 года назад +1

      I think my teacher explained it in a very different way and I keep searching for similar cases..

  • @garagebandofficial
    @garagebandofficial Год назад +1

    Thank you very much ma'am!, you saved my life because my final exam is next week 🤝

  • @YaletiPavanReddy1233
    @YaletiPavanReddy1233 3 года назад +1

    nice explanation mam .. Superb teaching

  • @ruwaynaabusamaha568
    @ruwaynaabusamaha568 3 года назад +3

    Hello, thank you for your efforts, I just have a question, in 8:17 I didn't understand what you did in red pen, so can you explain it for me ?

  • @leila4601
    @leila4601 3 года назад +1

    بہت بہت شکریہ

  • @gangaraji7263
    @gangaraji7263 4 года назад +7

    Thank you mam😍

  • @ravinanderson1118
    @ravinanderson1118 4 года назад +2

    Amazing, thank you!

  • @LaibaMaheen-es5zw
    @LaibaMaheen-es5zw 11 месяцев назад +1

    Mam please do video on system of linear congreuences in two variables.... Mam please do within two days exams is there?

  • @skarootz
    @skarootz Год назад +2

    really really good explanation and quite clear spoken English. I always have a really hard time listening to Indians because I'm not native in English, but not this time :) Keep growing girl

  • @Danny__878
    @Danny__878 10 месяцев назад +1

    Thanks Pari ❤

  • @deepikabagh9061
    @deepikabagh9061 4 года назад +1

    Thank you very much for sharing this mam...it's really helpful

  • @aritralahiri8321
    @aritralahiri8321 4 года назад +1

    Very helpful video mam

  • @sabitakolaka9361
    @sabitakolaka9361 2 года назад +1

    Thanks mam so easy method

  • @prateek_Kumar.1211
    @prateek_Kumar.1211 4 года назад +1

    Amazing concept thanku ✌️👌

  • @hemangininaik4944
    @hemangininaik4944 2 года назад +1

    Tq tq so much ma'am 🙏

  • @sudiptahajra8974
    @sudiptahajra8974 5 лет назад +6

    Well explained

  • @amrutha9211
    @amrutha9211 3 года назад +1

    Thank you mam its very usefull ✨️

  • @rahulmishra5502
    @rahulmishra5502 4 года назад +3

    Thank you

  • @learneveryday9988
    @learneveryday9988 Год назад +1

    Chota s suggestion dena chahunga mam ap bhaut accha pdhate ho pr English ke jgh bilangual pdhaoge to or acche video bnegi

  • @praneethsai9631
    @praneethsai9631 2 года назад +1

    thankuuuuuu====🤩🤩
    you made it so clear

  • @tisha1896
    @tisha1896 2 года назад +2

    How did 24 mod 9 became 6? Like what do we do if we have bigger numbers

  • @Ayubu-h1q
    @Ayubu-h1q Год назад +1

    You teach us very well but I want to see the video of linear congruence in two variables

  • @vinayakkprabhu
    @vinayakkprabhu Год назад +1

    Thank you so muchhh🥰✨

  • @fifthavrabat
    @fifthavrabat 4 года назад +1

    Super explication merci et très bonne continuité
    même si je comprends pas beaucoup l'anglais j'ai pu maîtriser cette partie grâce a votre belle et excellente explication
    Encore une fois merci et un grand bonjour du Maroc

    • @CSEconceptswithParinita
      @CSEconceptswithParinita  4 года назад +1

      Thank you so much for your beautiful words 😊 Keep learning, keep sharing ✌

  • @businessstockscompanies5335
    @businessstockscompanies5335 Год назад +1

    😭😭thaaaaank you verrrry muchhh mam!!!!!!!!!!!

  • @amiteshpandey7759
    @amiteshpandey7759 2 года назад +1

    Thank you so much maam🥰

  • @kanikaarora1979
    @kanikaarora1979 3 года назад +1

    mam u've explained very well 👏👏

  • @muhammadsharjeelmuhammadsh1402
    @muhammadsharjeelmuhammadsh1402 3 года назад +1

    Thanks a lot

  • @anjalis1158
    @anjalis1158 4 года назад +4

    Thank you mam

  • @nirenjanar2527
    @nirenjanar2527 4 года назад +1

    Thanku maamm 🙏🙏🙏🙏

  • @c27Blay
    @c27Blay 3 года назад +1

    Thank you!

  • @whitedevilgamer101
    @whitedevilgamer101 3 года назад +1

    Tq so much mam for making this videos

  • @govindjangid6201
    @govindjangid6201 2 года назад +1

    Thanks ma'am 😊

  • @rabindranathhajra168
    @rabindranathhajra168 5 лет назад +4

    Very clear explanation 👌

  • @saluteredd1270
    @saluteredd1270 4 года назад

    Thanks your video really helped

  • @faizabatool4221
    @faizabatool4221 3 года назад +1

    Thanks 💕

  • @somnathdash1048
    @somnathdash1048 4 года назад +3

    Best 🙏🙏🙏

  • @leosantiago1993
    @leosantiago1993 4 года назад +1

    thank you ! very infomative !

  • @redenoriola9082
    @redenoriola9082 3 года назад +2

    Can you please make a tutorial in getting distinct incongruent solutions?

  • @pmusic5664
    @pmusic5664 4 года назад +1

    Thanks madem ❤️❤️❤️👍

  • @mhofficial5558
    @mhofficial5558 Год назад +1

    i love you and your class

  • @ladlaprince941
    @ladlaprince941 4 года назад +1

    nice explaining

  • @amiteshpandey7759
    @amiteshpandey7759 2 года назад +1

    Maam please make video on linear congruence in two variable🙏🙏

  • @Onnethox
    @Onnethox 4 года назад +1

    how do you find C if the mod is a huge number, so you cant go trial and error until mod-1??? ex: if it was 7c mod 88 = 1, how to find c instead of doing c=1, c=2, ....,c=87??

  • @cinderellasinchsan192
    @cinderellasinchsan192 Год назад +1

    Superb sister

  • @angelsanares7695
    @angelsanares7695 3 года назад +1

    Is it the process how to solve linear congruences in one variable? I am just confused because the example in my module is not like this. I just want to know if solving congruences in one variable and finding the values of x have the same process?

  • @ruwaynaabusamaha568
    @ruwaynaabusamaha568 3 года назад +1

    Hello, I have a question if you may, what will be the fifth step if we don't have a number beside x, for instance: x is congruent to 3(mod 5)?

  • @raihanriday3609
    @raihanriday3609 3 года назад +2

    How do you calculate 24 mod 9 =6

  • @sushilkumaryadav702
    @sushilkumaryadav702 4 года назад +1

    Thank mam ji

  • @anup_narvekar
    @anup_narvekar 5 лет назад +2

    That complete number is called as an "Integer"

  • @tokiogaming3885
    @tokiogaming3885 Год назад +1

    Tq medam MGBU🙏

  • @AbdulBasit-vg6yc
    @AbdulBasit-vg6yc 4 года назад +1

    thank u

  • @manishar2904
    @manishar2904 4 года назад +1

    Ma'am how to solve Find an inverse of 12 modulo 17,if it exists?

  • @rabindranathbrahmachari9503
    @rabindranathbrahmachari9503 6 месяцев назад

    Thank you for the video didi!
    But I have seen some questions in the form of ax + c = b (mod n)
    How to solve them ?

  • @priyashiroy6815
    @priyashiroy6815 Год назад +1

    Thank youu mam

  • @vaishnavitiwari1442
    @vaishnavitiwari1442 Год назад

    Mam it's b/d or d/b in second step ?

  • @Abeaconofhope0210
    @Abeaconofhope0210 3 года назад +1

    Super

  • @anushika4577
    @anushika4577 2 года назад

    Use Fermat's Theorem to find a number x between 0 and 28
    with x ^ 85 congruent to 6 (modulo 29). Can please make an explanation video on this?

  • @OP-mk2dp
    @OP-mk2dp Год назад +1

    DHANYANWAD

  • @turkishdramas364
    @turkishdramas364 3 года назад +2

    how to solve for 3x+5=4(mod 5) ? I am getting negative value of b. Plz help.

    • @imh00man63
      @imh00man63 3 года назад +1

      * ≈ congruent,
      i don't have congruent sign in keypad 😂
      3x+5 ≈ 4(mod5)
      3x ≈ -1 (mod 5)
      {..,-6,-1,4,9,...}, This is set of multiply of 5 from -1.
      So, we can change -1 to another number on that set.
      3x ≈ 9 (mod 5)
      If gcd(3,5) = 1, we can divide 3 and 9. So..
      x ≈ 3 (mod 5)
      CORRECT ME IF I'M WRONG

  • @_gloryx57
    @_gloryx57 Год назад

    Mam..what if the answer I'm getting in the step 2 is an improper fraction... should i consider it as the solution doesn't exist or what should l do in this case..?